Question 1

Rewrite $36 \div 4$ as a multiplication by the reciprocal of 4, and find the result.

Accepted Answer

A)  9 
B)  8 
C)  5 
D)  12 
E)  7 
A)  9 
B)  8 
C)  5 
D)  12 
E)  7

Question 2

Complete the operation and simplify if necessary. $\frac { 4 } { 13 } + \frac { 7 } { 26 }$

Accepted Answer

A)  $\frac { 3 } { 19 }$ 
B)  $\frac { 15 } { 26 }$ 
C)  $\frac { 15 } { 52 }$ 
D)  $15$ 
E)  $\frac { 9 } { 13 }$ 
A)  $\frac { 3 } { 19 }$ 
B)  $\frac { 15 } { 26 }$ 
C)  $\frac { 15 } { 52 }$ 
D)  $15$ 
E)  $\frac { 9 } { 13 }$

Question 3

Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$

Accepted Answer

A)  $5$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 17 } { 3 }$ 
E)  $\frac { 13 } { 3 }$ 
A)  $5$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 3 } { 2 }$ 
D)  $\frac { 17 } { 3 }$ 
E)  $\frac { 13 } { 3 }$

Question 4

Complete the operation and simplify if necessary. $\frac { 14 } { 23 } - \frac { 10 } { 23 }$

Accepted Answer

A)  $4$ 
B)  $\frac { 24 } { 23 }$ 
C)  $\frac { 4 } { 23 }$ 
D)  $\frac { 5 } { 23 }$ 
E)  $\frac { 4 } { 19 }$ 
A)  $4$ 
B)  $\frac { 24 } { 23 }$ 
C)  $\frac { 4 } { 23 }$ 
D)  $\frac { 5 } { 23 }$ 
E)  $\frac { 4 } { 19 }$

Question 5

Using a formula of $\frac { 1 } { 8 }$  ounce of sun block, $\frac { 2 } { 3 }$ ounce of moisturizing cream, and $\frac { 1 } { 4 }$  ounce of lanolin, a beautician mixes her own brand of skin cream. She packages it in $\frac { 1 } { 4 }$  ounce tubes. How many tubes can be produced using this formula?

Accepted Answer

A)  $5 \frac { 1 } { 4 }$  tubes 
B)  $1 \frac { 1 } { 6 }$  tubes 
C)  $3 \frac { 2 } { 9 }$  tubes 
D)  $2 \frac { 1 } { 6 }$  tubes 
E)  $4 \frac { 1 } { 6 }$ tubes 
A)  $5 \frac { 1 } { 4 }$  tubes 
B)  $1 \frac { 1 } { 6 }$  tubes 
C)  $3 \frac { 2 } { 9 }$  tubes 
D)  $2 \frac { 1 } { 6 }$  tubes 
E)  $4 \frac { 1 } { 6 }$ tubes

Question 6

Simplify the fraction to lowest terms. $\frac { 2 } { 3 }$

Accepted Answer

A)  $0.2$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 3 } { 2 }$ 
E)  Does not simplify further. 
A)  $0.2$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 3 } { 2 }$ 
E)  Does not simplify further.

Question 7

Perform the multiplication. Simplify the result when possible. $\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }$

Accepted Answer

A)  $\frac { 7 } { 6 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  $\frac { 7 } { 8 }$ 
D)  $\frac { 8 } { 7 }$ 
E)  $\frac { 4 } { 3 }$ 
A)  $\frac { 7 } { 6 }$ 
B)  $\frac { 5 } { 4 }$ 
C)  $\frac { 7 } { 8 }$ 
D)  $\frac { 8 } { 7 }$ 
E)  $\frac { 4 } { 3 }$

Question 8

Simplify the numerical expression. $- \left( \frac { 1 } { 3 } \right) ^ { - 4 }$

Accepted Answer

A)  27 
B)  $- \frac { 1 } { 81 }$ 
C)  $- 81$ 
D)  $- \frac { 1 } { 27 }$ 
E)  256 
A)  27 
B)  $- \frac { 1 } { 81 }$ 
C)  $- 81$ 
D)  $- \frac { 1 } { 27 }$ 
E)  256

Question 9

A production process applies several layers of a clear acrylic coat to outdoor furniture to help protect it from the weather. If each protective coat is $\frac { 2 } { 27 }$ inch thick, how many applications will be needed to build up $\frac { 2 } { 3 }$ inch of clear finish? 
__________ applications

Accepted Answer

The answer of A production process applies several layers of...

Question 10

Simplify, if possible. $\frac { 13 } { 0 }$

Accepted Answer

A)  $13$ 
B)  $0$ 
C)  $\frac { 1 } { 13 }$ 
D)  $1$ 
E)  undefined 
A)  $13$ 
B)  $0$ 
C)  $\frac { 1 } { 13 }$ 
D)  $1$ 
E)  undefined

Question 11

Tell whether the given number is a solution of the equation. $\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }$ ; $x = 0$

Accepted Answer

A)  non-quantified solution 
B)  unequal solution 
C)  not a solution 
D)  solution 
E)  none of these 
A)  non-quantified solution 
B)  unequal solution 
C)  not a solution 
D)  solution 
E)  none of these

Question 12

Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 3 }$ .

Accepted Answer

A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 32 }$ 
D)  $\frac { 1 } { 16 }$ 
E)  $\frac { 1 } { 64 }$ 
A)  $\frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 32 }$ 
D)  $\frac { 1 } { 16 }$ 
E)  $\frac { 1 } { 64 }$

Question 13

Write the improper fraction as a mixed number or a whole number. $- \frac { 61 } { 7 }$

Accepted Answer

A)  $- 8 \frac { 5 } { 7 }$ 
B)  $- 8 \frac { 6 } { 7 }$ 
C)  $- 8 \frac { 7 } { 6 }$ 
D)  $- 8 \frac { 7 } { 5 }$ 
E)  $8 \frac { 5 } { 7 }$ 
A)  $- 8 \frac { 5 } { 7 }$ 
B)  $- 8 \frac { 6 } { 7 }$ 
C)  $- 8 \frac { 7 } { 6 }$ 
D)  $- 8 \frac { 7 } { 5 }$ 
E)  $8 \frac { 5 } { 7 }$

Question 14

Article V of the Constitution requires a two-thirds vote of the House of Representatives to propose a constitutional amendment. The House has 375 members. Find the number of votes needed to meet this requirement. 
Number of votes = __________

Accepted Answer

The answer of Article V of the Constitution requires a...

Rewrite $36 \div 4$ as a multiplication by the reciprocal of 4, and find the result.

Complete the operation and simplify if necessary. $\frac { 4 } { 13 } + \frac { 7 } { 26 }$

Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$

Complete the operation and simplify if necessary. $\frac { 14 } { 23 } - \frac { 10 } { 23 }$

Using a formula of $\frac { 1 } { 8 }$ ounce of sun block, $\frac { 2 } { 3 }$ ounce of moisturizing cream, and $\frac { 1 } { 4 }$ ounce of lanolin, a beautician mixes her own brand of skin cream. She packages it in $\frac { 1 } { 4 }$ ounce tubes. How many tubes can be produced using this formula?

Simplify the fraction to lowest terms. $\frac { 2 } { 3 }$

Perform the multiplication. Simplify the result when possible. $\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }$

Simplify the numerical expression. $- \left( \frac { 1 } { 3 } \right) ^ { - 4 }$

A production process applies several layers of a clear acrylic coat to outdoor furniture to help protect it from the weather. If each protective coat is $\frac { 2 } { 27 }$ inch thick, how many applications will be needed to build up $\frac { 2 } { 3 }$ inch of clear finish? __________ applications

Simplify, if possible. $\frac { 13 } { 0 }$

Tell whether the given number is a solution of the equation. $\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }$ ; $x = 0$

Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 3 }$ .

Write the improper fraction as a mixed number or a whole number. $- \frac { 61 } { 7 }$

Article V of the Constitution requires a two-thirds vote of the House of Representatives to propose a constitutional amendment. The House has 375 members. Find the number of votes needed to meet this requirement. Number of votes = __________

Whole Numbers

The Integers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

An Introduction to Geometry

Filters

Exam 3: Fractions and Mixed Numbers

Rewrite 36÷436 \div 436÷4 as a multiplication by the reciprocal of 4, and find the result.

Complete the operation and simplify if necessary. 413+726\frac { 4 } { 13 } + \frac { 7 } { 26 }134​+267​

Write the mixed number as an improper fraction. 5235 \frac { 2 } { 3 }532​

Complete the operation and simplify if necessary. 1423−1023\frac { 14 } { 23 } - \frac { 10 } { 23 }2314​−2310​

Simplify the fraction to lowest terms. 23\frac { 2 } { 3 }32​

Perform the multiplication. Simplify the result when possible. 332⋅403\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }323​⋅340​

Simplify the numerical expression. −(13)−4- \left( \frac { 1 } { 3 } \right) ^ { - 4 }−(31​)−4

Simplify, if possible. 130\frac { 13 } { 0 }013​

Tell whether the given number is a solution of the equation. 3+x9−x=13\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }93+x​−x=31​ ; x=0x = 0x=0

Find the value of the expression (12)3\left( \frac { 1 } { 2 } \right) ^ { 3 }(21​)3 .

Write the improper fraction as a mixed number or a whole number. −617- \frac { 61 } { 7 }−761​

Article V of the Constitution requires a two-thirds vote of the House of Representatives to propose a constitutional amendment. The House has 375 members. Find the number of votes needed to meet this requirement. Number of votes = __________

Whole Numbers

The Integers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

An Introduction to Geometry

Filters

Rewrite $36 \div 4$ as a multiplication by the reciprocal of 4, and find the result.

Complete the operation and simplify if necessary. $\frac { 4 } { 13 } + \frac { 7 } { 26 }$

Write the mixed number as an improper fraction. $5 \frac { 2 } { 3 }$

Complete the operation and simplify if necessary. $\frac { 14 } { 23 } - \frac { 10 } { 23 }$

Simplify the fraction to lowest terms. $\frac { 2 } { 3 }$

Perform the multiplication. Simplify the result when possible. $\frac { 3 } { 32 } \cdot \frac { 40 } { 3 }$

Simplify the numerical expression. $- \left( \frac { 1 } { 3 } \right) ^ { - 4 }$

Simplify, if possible. $\frac { 13 } { 0 }$

Tell whether the given number is a solution of the equation. $\frac { 3 + x } { 9 } - x = \frac { 1 } { 3 }$ ; $x = 0$

Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 3 }$ .

Write the improper fraction as a mixed number or a whole number. $- \frac { 61 } { 7 }$